The graph of a line passes through the points (0, -2) and (6, 0). What is the equation of the line?

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asked Aug 4, 2018 16.3k views

2 votes

The graph of a line passes through the points (0, -2) and (6, 0). What is the equation of the line?

Mathematics
college

Frank Ibem asked

by Frank Ibem

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2 Answers

5 votes

Answer:

y = 1/3x - 2

Explanation:

Jujhar Singh answered Aug 5, 2018

by Jujhar Singh

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4 votes

$\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 0}}\quad ,&{{ -2}})\quad % (c,d) &({{ 6}}\quad ,&{{ 0}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{0-(-2)}{6-0}\implies \cfrac{0+2}{6-0} \\\\\\ \cfrac{2}{6}\implies \cfrac{1}{3}$

$\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-2)=\cfrac{1}{3}(x-0) \\\\\\ y+2=\cfrac{1}{3}x\implies y=\cfrac{1}{3}x-2$

Myk answered Aug 8, 2018

by Myk

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